1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$\int_0^\pi \frac{x \sin x}{1+\cos ^2 x} d x=$
A
0
B
$\frac{\pi}{2}$
C
$\frac{\pi^2}{2}$
D
$\frac{\pi^2}{4}$
2
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\int_{-\pi}^\pi \frac{x \sin ^3 x}{4-\cos ^2 x} d x=$
A
$2 \pi(1-\log 3)$
B
$2 \pi\left(1-\frac{3}{4} \log 3\right)$
C
$\pi\left(1-\frac{3}{4} \log 3\right)$
D
$4 \pi(1-\log 3)$
3
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { } \int\limits_{-3}^3|2-x| d x= $$

A
12
B
16
C
13
D
25
4
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int_{\frac{1}{\sqrt[5]{31}}}^{\frac{1}{\sqrt[5]{242}}} \frac{1}{\sqrt[5]{x^{30}+x^{25}}} d x= $$

A
$\frac{65}{4}$
B
$\frac{-75}{4}$
C
$\frac{75}{4}$
D
$\frac{-65}{4}$
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